I tend to go for the "not iconic" movie scores. If the music is too well known, it pulls the players out of the situation.
Go-to composers: Yuki Kajiura (.hack//, Noir), Yoko Kanno (Escaflowne, Ghost in the Shell, Cowboy Bebop, Macross Plus, Macross Frontier), Sawano Hiroyuki (Guilty Crown...